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Finding the Third Proportional to 297,006 and 460,305

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Solution

The third proportional to 297,006 and 460,305 is: 713,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,006 : 460,305 = 460,305 : x
  2. Step 2: Convert to fraction form
    297,006/460,305 = 460,305/x
  3. Step 3: Cross multiply
    297,006x = 460,305 × 460,305
  4. Step 4: Simplify right side
    297,006x = 211,880,693,025
  5. Step 5: Solve for x
    x = 211,880,693,025/297,006
  6. Step 6: Final answer
    x = 713,388.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.